Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waited at the station for his wife. The car travels at a uniform speed, which is 5 times ravis speed on foot. Ravi reached home at exactly 6 oclock. At what time would he have reached home if his wife, forewarned of his plan, had met him at the station?
Answers
Step-by-step explanation:
hope the explanation is clear.
Given : set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waited at the station for his wife. The car travels at a uniform speed, which is 5 times ravis speed on foot. Ravi reached home at exactly 6 o clock.
To find : At what time would he have reached home if his wife, forewarned of his plan, had met him at the station
Solution:
He reached home 12 minutes earlier than he would have done had he waited at the station for his wife
Hence wife save time of 6 minutes going to station & 6 minutes to reach back at that point again
Let say speed of Ravi = km/min
Speed of Car = 5S km/min
Distance to be covered by car in 6 minutes = 5S * 6 = 30S km
Distance covered by Ravi = 30S
=> Time taken by ravi to reach that point = 30S/S = 30 Min
if her wife had recahed station 30 minutes earlier
then they need to take 6 minutes to reach by car at same point
Hence 30 - 6 = 24 Minutes could be save
he have reached home if his wife, forewarned of his plan,
= 6:00 PM - 24 minutes
= 5 : 36 PM
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