A truck driver took 3 hours to travel a distance of 150 miles from the

Question

A truck driver took 3 hours to travel a distance of 150 miles from the warehouse to a customer. At what average speed, in miles per hour, must the truck driver travel on the 150-mile return trip to have an average speed of 60 miles per hour for the entire round-trip?

A. 75
B. 70
C. 65
D. 60
E. 50

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Official Answer

A

Pallavimalik2597 · Accepted Answer

Total distance covered for the round trip is 300 miles (150+150)

Average speed for round trip is 60miles/hr which means total time taken =Total distance/Average speed of round trip

=300/60 = 5 hours time taken in total to complete 300 miles.

Out of which, it is given in the question that it took him 3 hours to travel 150 miles,which means the driver took 2 hours (5-3 hrs) to complete the trip ( while returning)

Now, for now, we know the distance covered by driver is 150 miles, time taken is 2 hours . with the help of D=s*t

We can figure it that average speed of the driver must be =150/2=75 miles

Hope it helps !!!

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Confide · Answer

Total Distance/Total time = Avg. Speed
(300)/(3+x)=60
180+60x=300
x=2

Now that we have the numbers of hours for return trip:
Rate = 150/2
Rate = 75mph

keep it simple

gmatophobia · Answer

As the distance is covered is same, we can represent the average speed, S

S = \frac{2S_1 * S_2}{S_1 + S_2}

S_1  ⇒ Speed at which the truck driver drives during its onward onward journey

S_1 = \frac{150}{3} = 50

S_2  ⇒ Speed at which the truck driver drives during its return onward journey

60 = \frac{2*50*S_2 }{ 50 + S_2}

(60 * 50) = 2*50*S_2

(60 * 50) + 60S2 = 2*50*S_2

S_2 = \frac{(60*50)}{(40) }= 75

Option A

GmatKnightTutor · Answer

A truck driver took 3 hours to travel a distance of 150 miles from the warehouse to a customer. At what average speed, in miles per hour, must the truck driver travel on the 150-mile return trip to have an average speed of 60 miles per hour for the entire round-trip?

A. 75
B. 70
C. 65
D. 60
E. 50

Show Spoiler

Attachment:

2024-01-24_19-53-01.png [ 44.45 KiB | Viewed 8770 times ]

Show Answer

Official Answer

A

A. 75
B. 70
C. 65
D. 60
E. 50

(Total distance) / (Total time) = (Average speed)

(300) / (3+x) = 60
300 = 180 + 60x
120 = 60x
2 = x

Basically, the return journey should be two hours. Since the distance covered on the return journey was 150 miles, the average per hour would be 75mph.

(A) is you answer.

bumpbot · Answer

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A truck driver took 3 hours to travel a distance of 150 miles from the

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