Question
Ajay and Vishal left the place âXâ with different
speeds which are in the ratio 7:6 respectively. Ajay left the place 36 seconds after Vishal. If after 72 seconds of the departure of Vishal, Ajay is 100 meters apart from Vishal, then find the speed of Vishal.(in km/hr)Solution
Let Ajayâs speed = 7x, Vishalâs speed = 6x Vishal travels for 72 sec â Distance = 6xĂ72=432x Ajay starts 36 sec later, so he travels 36 sec â Distance = 7xĂ36=252x Gap between them = 432xâ252x=180x=100 On solving we get 180x = 100 So, x = 5/9 Hence, Vishal speed = 6x = 6 Ă (5/9) = 10/3 m/s Hence, To convert Vishal's speed from m/s to km/hr, use the conversion factor:
1 m/s = 3.6 km/hr Given speed of Vishal: Vishalâs speed = 10/3 m/s Speed in km/hr = 10/3 Ă 3.6 = 36/3 = 12 km/hr
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