When Truck A travels at a constant speed of m miles per hour for 84 mi

Question

Data Insights (DI) Quiz-II 2023       Click here for Details ]

When Truck A travels at a constant speed of m miles per hour for 84 minutes, and Minivan B travels at a constant speed of n miles per hour for 252 minutes, Truck A travels 14 miles more than minivan B.

In the table, select values of m and n that are consistent with the information given. In the first column, select the row that corresponds to the value of m, and in the second column select the row that corresponds to the value of n. Select only one option in each column.

p456 · Answer

m=64, n=18

TRUCK A
s1 = m miles/hr
t1 = 84 min = 7/5 hour
d1 = distance travelled by truck A

MINIVAN B
s2 = n miles/hr
t2 = 252 min = 21/5 hour
d2 = distance travelled by truck B

we are given, d1 - d2 = 14
now we can substitute values for d1 and d2

m(7/5) - n(21/5) = 14
7m - 21n = 70 or  m-3n = 10 
only two values will satisfy above equation

m = 64, n= 18 satisfy m-3n=10

mayankdgmat · Answer

n=18, m=64

Let us say truck A moves S distance
Truck A speed in miles/hour = m
Time to Travel in hour = 84/60

So S = m*84/60

Now it is given that truck A moves 14 miles more than minivan B, so minivan B will travel  S-14

So Minivan B will travel S-14 distance with Minivan B speed of n miles/hours and time of 252/60 hr

So, S-14 = (m*84/60)-14 = n*252/60

now 84 and 252 is divisible completely by 14 and multiplying both side by 60 we will get 
 
 m=10+3n , only n=18 and m=64 satisfy it.

HarshaBujji · Answer

Distance by Truck A = m * 84/60
Distance by Minivan B = n * 252/60

So 7(m/5) - 21(n/5) = 14

=> m - 3n =10

Hence m can be 64, n can be 18.

mendax · Answer

Truck A travels at m mph for 84 minutes => distance covered by Truck A= \frac{m*84}{60}
Similarly Minivan B travels at n mph for 252 minutes => distance travelled by B = \frac{n*252}{60}

As per the question Truck A travels 14 miles more than B:
\frac{m*84}{60}-\frac{n*252}{60}=14
Simplifying the equation we will get
m-3*n=10

From the options if we take  m=64 and n=18  => then only m-3*n=10 equation is satisfied.

Elite097 · Answer

Dist A- Dist B=14
84m/60-252n/60=14
-21n+7m=70
-3n+m=10----> m>n
Thus by testing answer choices , we get m=64 and n=18

hallfootball · Answer

Question: In the first column, select the row that corresponds to the value of m, and in the second column select the row that corresponds to the value of n.

Given: When Truck A travels at a constant speed of m miles per hour for 84 minutes,
This can be translated as Distance travelled by A = m * (84/60)

Minivan B travels at a constant speed of n miles per hour for 252 minutes
This can be translated as Distance travelled by B = n * (252/60)

Truck A travels 14 miles more than minivan B.
This can be translated as (m * (84/60)) - (n * (252/60)) = 14
Simplifying this further we get - m = 10 + 3n

Now let's assume the value of n = 12 then m = 46. 46 is not one of the options hence n is not equal to 12.

Now let's assume the value of n = 18 then m = 64. 64 is one of the options hence n can be equal to 18. 
We can stop here and mark these as the answers.
We can also see that the next value of n could be 36 and the corresponding m value will be 118 which is not an option. And as value of n keeps increasing the value of m will also keep increasing. Hence, not other choice is sufficient.

Hence m = 64 and n = 18.

pudu · Answer

in 84 minutes A travel 7m/5 miles and in 252 minutes B travels 21n/5 miles. There difference is given as 14 miles.
7m-21n=70 solve it .we get m=64 and n=18

pintukr · Answer

When Truck A travels at a constant speed of m miles per hour for 84 minutes, and Minivan B travels at a constant speed of n miles per hour for 252 minutes, Truck A travels 14 miles more than minivan B.

In the table, select values of m and n that are consistent with the information given. In the first column, select the row that corresponds to the value of m, and in the second column select the row that corresponds to the value of n. Select only one option in each column.

Keeping values for Speed ie, m and n in km/h , we get the equation as

m (84/60) - n(252/60) = 14

7m - 21n = 70

m = 3n + 10 ..................(1)

Only m= 64, n = 18 satisfy Equation (1)

Value of m = 64
Value of n = 18

Sajjad1994 · Answer

Official Explanation

The correct answers are 64 miles per hour for m, the speed of Truck A, and 18 miles per hour for n, the speed of Minivan B.

Convert all minutes to hours. Truck A travels for 84 minutes, or 1.4 hours, and Minivan B travels for 252 minutes, or 4.2 hours. Then, according to the given information,  1.4m = 4.2n + 14 , which is equivalent to  m=3n+10  . The only values for m and n in the table that satisfy this equation are m=64 and n=18. If Truck A travels for 1.4 hours at 64 miles per hour, Truck A will travel 64*1.4, or 89.6 miles. If Minivan B travels for 4.2 hours at 18 miles per hour, Minivan B will travel 4.2*18, or 75.6 miles. Truck A will have traveled 14 miles more than Minivan B.

Advait01 · Answer

Distance by Truck A = m * 84/60
Distance by Minivan B = n * 252/60

So 7(m/5) - 21(n/5) = 14

=> m - 3n =10

Hence m can be 64, n can be 18.

egmat · Answer

Let's walk through this step by step.

Step 1: Convert minutes to hours. 
Since speeds are in miles per HOUR, we need times in hours.
- Truck A:  84  minutes =  84 / 60  =  7/5  hours
- Minivan B:  252  minutes =  252 / 60  =  21/5  hours

Step 2: Write the distance equation. 
 Distance = Speed × Time , and Truck A travels  14  miles MORE than Minivan B:

(m ×  7/5 ) - (n ×  21/5 ) =  14

Step 3: Simplify. 
Multiply everything by  5  to clear the fractions:
 7 m -  21 n =  70

Divide everything by  7 :
m -  3 n =  10

So we need a pair from the answer choices where m minus three times n equals  10 .

Step 4: Test the choices. 
- m =  12 :  12  -  3 n =  10  → n =  2/3  (not in the list)
- m =  18 :  18  -  3 n =  10  → n =  8/3  (not in the list)
- m =  36 :  36  -  3 n =  10  → n =  26/3  (not in the list)
- m =  48 :  48  -  3 n =  10  → n =  38/3  (not in the list)
- m =  64 :  64  -  3 n =  10  → n =  54/3  =  18  ✓ ( 18  is in the list!)
- m =  72 :  72  -  3 n =  10  → n =  62/3  (not in the list)

Only m =  64  and n =  18  works.

Quick verification: 
- Truck A distance:  64  ×  7/5  =  448/5  =  89.6  miles
- Minivan B distance:  18  ×  21/5  =  378/5  =  75.6  miles
- Difference:  89.6  -  75.6  =  14  miles ✓

Answer: m = 64 (Row 5 under m) and n = 18 (Row 2 under n)

Key Insight:   The  key trap  in this problem is forgetting to convert minutes to hours before setting up the equation. If you accidentally use  84  and  252  as-is, you'll get a completely different equation and none of the pairs will work cleanly.

When Truck A travels at a constant speed of m miles per hour for 84 mi

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Two-part Analysis (TPA) Questions

When Truck A travels at a constant speed of m miles per hour for 84 mi

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards