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GATE > Learn GATE Coaching > A car travels 8 km in the first quarter of an hour,...
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A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. What is the average speed of the car in km per hour over the entire journey?

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Physics & Mathematics Expert for JEE Mains,Advanced & Olympiads with 13 yrs experience

Avg Speed=Total Distance/Total Time=> (8+6+16)/(0.25+0.25+0.25) =40 kmph.
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Mechanical Engineer

Average Speed= Total Distance/Total time Total distance= 8+6+16=30 km Total time= 45 minutes= 0.75 hour Average speed= 40 km/hr over the entire journey of 45 minutes.
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B.Tech (Mech Engg)

Speed= (8+6+16)/(3/4)= 30*4/3 = 40 km/h.
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Speed = distance/time = (8+6+16)/(1/4+1/4+1/4) = (30)/(3/4) = 40 kmph.
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Trainer

d1/t1 = 8 /0.25 = 32 Km /Hr (1st quarter speed). d2/t2 = 6/0.25 = 24 Km/Hr (2nd quarter speed). d3/t3 = 16/0.25 = 64 Km/Hr (3rd quarter speed). Hence the average speed for all quarters = (32+24+64)/3 = 120 / 3 = 40 km/Hr.
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