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A travels a certain distance at a different speed. He travels 35% of distance at a speed of 70 kmph, 25% of distance at a speed of 100 kmph, 20% of distance at a speed of 80 kmph, and remaining at 50 kmph. At the same average speed, in how much time A will cover 500 km?

A travels a certain distance at a different speed. He travels 35% of distance at a speed of 70 kmph, 25% of distance at a speed of 100 kmph, 20% of distance at a speed of 80 kmph, and remaining at 50 kmph. At the same average speed, in how much time A will cover 500 km? Correct Answer 7 hours

Given:

Let the distance travelled by A be 100 km.

Formula:

Average speed = Total distance/total time

Calculation:

Average speed = 100/(35/70 + 25/100 + 20/80 + 20/50)

= 500/7 kmph

∴ Required time = 500 × 7/500

= 7 hours

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