Rishabh is travelling on his bike and has calculated to reach point X at 3 p.m. If he travels at 20 kmph, he will reach there at 1 p.m. if he travels at 30kmph. At what speed must he travel to reach X at 2 p.m.?

20 kmph

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40 kmph

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28 kmph

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36 kmph

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24 kmph

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Solution

The correct option is E
24 kmph

Let the distance travelled by x km. Then, $\frac{x}{20} - \frac{x}{30} = 2$

3x - 2x = 120

x = 120 km

Time taken to travel 120 km at 20 kmph = 6 hrs

So, Rishabh started 6 hours before 3 p.m. i.e., at 9 a.m.

Required speed to cover 120 km in 5 hrs = 24 kmph

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Rishabh is travelling on his bike and has calculated to reach point X at 3 p.m. If he travels at 20 kmph, he will reach there at 1 p.m. if he travels at 30kmph. At what speed must he travel to reach X at 2 p.m.?

The correct option is E 24 kmph Let the distance travelled by x km. Then, x20 −x30=2 3x - 2x = 120 x = 120 km Time taken to travel 120 km at 20 kmph = 6 hrs So, Rishabh started 6 hours before 3 p.m. i.e., at 9 a.m. Required speed to cover 120 km in 5 hrs = 24 kmph

The correct option is E
24 kmph

Let the distance travelled by x km. Then, $\frac{x}{20} - \frac{x}{30} = 2$

3x - 2x = 120

x = 120 km

Time taken to travel 120 km at 20 kmph = 6 hrs

So, Rishabh started 6 hours before 3 p.m. i.e., at 9 a.m.

Required speed to cover 120 km in 5 hrs = 24 kmph