Question

A boy can cover a distance in 1 hr 24 min by covering of the distance at 4 kmph and the rest at 5kmph. The total distance is?​

Answer 1

No(0)total distance= x2x/3 of 4 +1x/3of 5=1hour+24/60hour2x/12+x/15=7/5after solving this equationx=6

Answer 2

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Let's imagine that the total distance is x kilometer.

Two thirds of the distance will be 2x/3, which is covered at 4 kilometer per hour

Thus remaining distance

= 1x - 2x/3

= 3x - 2x/3

= x/3

We know speed = distance/time

Time = distance/speed

A boy covers two thirds of the distance at 4 km/per hour and the rest at 5 km/per hour.

Peter can cover a certain distance in 1 hr. and 24 mins.

1 hour 24 minutes (24/60 hours) can be written as 1.40 hours

According to statement

(2x / 3) / 4 + (x / 3) / 5 = 1.40 hours

2x / 12 + x / 15 = 1.40 hours

x / 6 + x / 15 = 1.40 hours

7x / 30 = 1.40

Cross multiplication

7x = 30 × 1.40

7x = 42

x = 42 / 7

x = 6 kilometers

The total distance is 6 kilometers

Answer total distance is 6 kilometers.