While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?

Question

Physics

Marely Blanchard

15 March, 08:51

While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?

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Answers (1)

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Annalise Beard · Answer 1

162 minutes

Explanation:

Parameters given:

Harriet's speed from town A to B = 115 km/hr

Harriet's speed from B to A = 135 km/hr

Total time taken = 5 hours

We know that the distance from A to B is constant and the same as the distance from B to A.

Distance given in terms of speed and time as:

Distance = speed * time.

Let the time taken to get from A to B be x hours. Hence, the time taken to get from B to A will be:

Time = (5 - x) hours

The distance between A and B will be:

D (A, B) = 115 * x

The distance between B and A will be:

D (B, A) = 135 * (5 - x)

Since D (A, B) = D (B, A),

=> 115 * x = 135 * (5 - x)

=> 115x = 675 - 135x

115x + 135x = 675

=> 250x = 675

x = 675/250 hours

x = 2.7 hours = 2.7 * 60 minutes

x = 162 mins

Therefore, it took 162 minutes for Harriet to get from town A to B.