Armaan goes 10 km distance with average speed of 6 km/hr while the rest 20 km he travels with an average speed of 15 km/hr. What is the average speed of Armaan during the whole journey?

10 km/hr

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12 km/hr

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13 km/hr

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14.5 km/hr

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Solution

The correct option is A 10 km/hr
distance $S_{1} = 10 k m, s p e e d v_{1} = 6 k m / h r$

time taken $T_{1} = \frac{S}{v_{1}} = \frac{10}{6} = 1.67 h r$

distance $S_{2} = 20 k m, s p e e d v_{2} = 15 k m / h r$

time taken $T_{2} = \frac{S}{v_{2}} = \frac{20}{15} = 1.33 h r$

total time taken T $= T_{1} + T_{2} = 1.67 + 1.33 = 3 h r$

average speed $= \frac{total distance travelled}{total time taken} = \frac{30}{3} = 10 k m / h r$

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Armaan goes 10 km distance with average speed of 6 km/hr while the rest 20 km he travels with an average speed of 15 km/hr. What is the average speed of Armaan during the whole journey?

The correct option is A 10 km/hrdistanceS1=10km,speed v1=6km/hrtime taken T1=Sv1=106=1.67hrdistanceS2=20km,speed v2=15km/hrtime taken T2=Sv2=2015=1.33hrtotal time taken T=T1+T2=1.67+1.33=3hraverage speed=total distance travelledtotal time taken=303=10km/hr