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ICSE Class 7 Answered

A car X starts at 5 p.m. at a speed of 60 km/h. Another car You starts from the same point at 6:20 p.m. at a speed of 80 km/h. At what time will X and Y meet each other?
Asked by rkr2008 | 01 Dec, 2018, 08:58: AM
answered-by-expert Expert Answer
When the car-Y starts from the starting place, car-X has already travelled for 1 hour 20 mins
 
Distance travelled by car-x before car-y starts = speed×time = 60×(4/3) = 80 km.
 
Let car-y meet car-x after t hours.
 
Distance travelled by car-y = (80×t) km
Distance travelled by car-x from starting time to the time it meets car-y = (80+60×t) km 
 
when both the car meets, distance travelled by both of them is same.
Hence,we have (80×t) = 80+60×t)
 
      80×t - 60×t = 80
      20×t            = 80
                 t        = 80/20 = 4
Hence both the car will meet 4 hours after the starting time of car-y
Answered by Thiyagarajan K | 01 Dec, 2018, 11:10: AM
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