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?
Answers
No(0)total distance= x2x/3 of 4 +1x/3of 5=1hour+24/60hour2x/12+x/15=7/5after solving this equationx=6
Step-by-step explanation:
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
Peter 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