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.

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

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