Question : A man goes to a place on a bicycle at a speed of 16 km/h and comes back at a lower speed. If the average speed is 6.4 km/h in total journey, then the return speed (in km/h) is:
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 4
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Correct Answer: 4
Solution : Given: Average speed = 6.4 km/h Speed while going = $x$ = 16 km/h Let speed while coming to be $y$ km/h According to the question: Average speed = $\frac{2xy}{x+y}$ ⇒ 6.4 = $\frac{2×16×y}{16+y}$ ⇒ 102.4+6.4$y$ = 32$y$ ⇒ 102.4 = 32$y$–6.4$y$ ⇒ 102.4 = 25.6$y$ $\therefore y$ = $\frac{102.4}{25.6}$ = 4 km/h Hence, the correct answer is 4.
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Question : A motorist travels to a place 150 km away at an average speed of 50 km/h and returns at 30 km/h. His average speed for the whole journey in km/h is
Option 1: 37.5
Option 2: 37
Option 3: 35
Option 4: 40
Question : Sriya with her family travelled from Bolpur to Suri by car at a speed of 40 km/h and returned to Bolpur at a speed of 50 km/h. The average speed for the whole journey is:
Option 1: $44\frac{4}{9}$ km/h
Option 2: $45$ km/h
Option 3: $45\frac{1}{2}$ km/h
Option 4: $44.78$ km/h
Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:
Option 1: $66 \frac{1}{6} $km/h
Option 2: $66 \frac{2}{3} $km/h
Option 3: $66 \frac{1}{3} $km/h
Option 4: $66 \frac{4}{3} $km/h
Question : A car covers the first 210 km at a speed of 70 km/h, it covers the next 170 km at a speed of 85 km/h. What is its average speed?
Option 1: 72 km/h
Option 2: 76 km/h
Option 3: 74 km/h
Option 4: 68 km/h
Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
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