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A bus travelling at 100 km/h completes a journey in 17 hours. At what speed will it have to cover the same distance in 5 hours?
Question

A bus travelling at 100 km/h completes a journey in 17 hours. At what speed will it have to cover the same distance in 5 hours?

A.

344 km/h

B.

332 km/h

C.

347 km/h

D.

340 km/h

Correct option is D

Given:

The bus travels at 100 km/h and completes the journey in 17 hours.

We need to find the speed required to cover the same distance in 5 hours.

Formula Used:

Distance = Speed × Time

Solution:

Let the distance travelled by the bus be D.
The speed at which the bus needs to travel to cover the same distance in 5 hours is S.

The bus travels at 100 km/h for 17 hours. So, the distance D is:

D = 100 × 17 = 1700 km

We need to cover the same distance in 5 hours. Let the required speed be S. Using the formula:

D = S × 5

1700 = S × 5

S =17005=340 km/h \frac{1700}{5} = 340 \, \text{km/h}
The bus will have to travel at 340 km/h to cover the same distance in 5 hours.

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