A bus meets with an auto at 10:00 am while going the same way in the same direction towards Haridwar. The Bus reaches at Haridwar at 12:30 p.m. and take 1 hour rest at there. Bus return on the same way and meet with the same auto half an hour later. At what time the auto will reach at Haridwar?
Answers
auto will reach Haridwar at 3 PM
Step-by-step explanation:
A bus meets with an auto at 10:00 am
Let say Distance of Haridwar from that Point = D km
The Bus reaches at Haridwar at 12:30 p.m
=> Bus take 2 : 30 hrs to reach Hariwar
Speed of Bus = D/2.5
Bus take 1 hour rest at there. and return on the same way and meet with the same auto half an hour later
DIstance covred by Bus in 1/2 hr = 0.5 * D/2.5 = D/5 km
Time = 12 : 30 + 1 + 0:30 = 2 PM
Auto Travelled for 4 hrs
Distance covered by Auto = D - D/5 = 4D/5 km
Speed of Auto = (4D/5)/4 = D/5 km/hr
Distance Remained for AUto to coved = D/5 km
Further time taken by auto = (D/5)/(D/5) = 1 Hr
auto will reach Haridwar at 2 PM + 1 = 3M
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