Mohit goes to school on his bicycle. he has to travel x km in 25 minutes to reach the school exactly on time. he travels the first 2 km in 15 minutes. at what speed should he travel for the rest of the distance so that he reaches the school exactly on time? (note : speed = distance/ time)

Question

22-08-2022
Mathematics

Answered

Mohit goes to school on his bicycle. he has to travel x km in 25 minutes to reach the school exactly on time. he travels the first 2 km in 15 minutes. at what speed should he travel for the rest of the distance so that he reaches the school exactly on time? (note : speed = distance/ time)

Answer :

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Yakavi Yakavi · Answer 1 · 2022-08-27T04:38:39-04:00

The speed at which Mohit should travel for the rest of the distance so that he reaches the school exactly on time is (x-2)/10 km/min or 6(x-2)km/hr.

It is given in the question that Mohit has to travel x km in 25 minutes to reach the school exactly on time. It is also given that he traveled 2 km in 15 minutes.

Hence,

Distance left to cover by Mohit= (x - 2) km

Time left with Mohit = (25 - 15) min = 10 min

We know that,

Speed = Distance/ Time

Hence, Mohit's speed for the rest of the distance will be =

(x-2)/10 km/ min

We can also change the speed in km/hr.

We know that,

1 hour = 60 minutes

Hence,

1/60 hour = 1 minutes

10 minutes = 10/60 hour

10 minutes = 1/6 hour

Hence,

(x-2)km/ 10 min = (x-2)km/(1/6) hour = 6(x-2)km/hr.

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