A bus is travelling at a speed of 80km/hr and it takes 8hrs to complete the journey.At what speed should it travel to complete the journey in 6hrs?

106.6km/hr.

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110km/hr.

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92km/hr.

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111.11km/hr.

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Solution

The correct option is A
106.6km/hr.

Given,

speed = 80km/hr

time taken = 8hrs

$s p e e d = \frac{d i s t a n c e}{t i m e} \to d i s t a n c e = s p e e d \times t i m e$

$= 80 \times 8 = 640 k m$

$∴$ to travel a distance of 640km the bus takes 8hrs.If the journey has to be completed in 6hrs,

$s p e e d = \frac{d i s t a n c e}{t i m e}$

$= \frac{640}{6} = 106.6 k m / h r$

$∴$ The journey can be completed in 6hrs if the bus travels at a speed of 106.6km/hr.

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