Maths Maths Puzzle Numerical Ability Time Distance and Speed

Towns P&Q are 80 km apart.Cars A&B are stationed at towns P& Q respectively.If they start simultaneously towards each other,they would meet in a hour.if both started simultaneously in the same direction, the faster car would overtake the slower car in 4 hours.find the speed of the faster car?

Read Solution (Total 1)

50 km/hr

Let the speed s of the car starting from P and Q be A and B respectively, then
Time taken to meet, when travelling in opposite direction with relative speed of A+B is 80/(A+B)=1 or A+B= 80 ----(i) and
Time taken when faster car overtakes slower car in the same direction with relative speed A-B is 80/(A-B)=4 or 4A -4B= 80 ----(ii)
On solving (i) & (ii), A=50, B=30
7 years agoHelpfull: Yes(0) No(1)

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