Question : Mohan completed a certain journey by car. If he covered 30% of the distance at 90 km/hr, 45% of the distance at 135 km/hr, and the remaining distance at 75 km/hr. His average speed (in km/hr) for the entire journey is:
Option 1: 100
Option 2: 90
Option 3: 105
Option 4: 95
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Correct Answer: 100
Solution : Let the total distance travelled by Mohan = $100x$ km 30% of distance = $30x$ km 45% of distance = $45x$ km Remaining distance = ($100x-30x-45x$) = $25x$ km According to the question, $\therefore$ Total time taken = $\frac{30x}{90}$+$\frac{45x}{135}$+$\frac{25x}{75}$ = $\frac{x}{3}$+$\frac{x}{3}$+$\frac{x}{3}$ = $\frac{3x}{3}$ = $x$ Average speed = $\frac{\text{Total distance travelled}}{\text{Total time taken}}$ = $\frac{100x}{x}$ = 100 km/hr. Hence, the correct answer is 100.
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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
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 train travelling from Mumbai to Goa covered the first 420 km at a speed of 60 km\hr and then covered the remaining 95 km at a speed of 65 km/hr. Find its average speed in km/hr.
Option 1: 63.5
Option 2: 60.86
Option 3: 62
Option 4: 62.3
Question : A man travelled a certain distance by train at the speed of 50 km/hr and walked back the same distance at the speed of 10 km/hr. If the whole journey took 12 hours, then what was the distance travelled by train?
Option 1: 100 km
Option 2: 180 km
Option 3: 150 km
Option 4: 120 km
Question : One-third part of a certain journey is covered at the speed of 10 km/hr, one-fourth part at the speed of 15 km/hr, and the rest part at the speed of 20 km/hr. What will be the average speed (in km/hr) for the whole journey?
Option 1: $15$
Option 2: $\frac{200}{17}$
Option 3: $\frac{240}{17}$
Option 4: $\frac{280}{17}$
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