Question : If a train maintains an average speed of 42 km/hr, it arrives at its destination at the right time. If however, the average speed is 40 km/hr, it arrives 15 minutes late. Find the distance of the journey.
Option 1: 210 km
Option 2: 205 km
Option 3: 209 km
Option 4: 200 km
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Correct Answer: 210 km
Solution : Let the time be $x$ hours when the train moves at a speed of 42 km/hr. So, time will be $(x+\frac{1}{4})$ hours when the train moves at a speed of 40 km/hr. (15 minutes = $\frac{1}{4}$ hour) Distance = Speed × Time $⇒42×x = 40 × (x+\frac{1}{4})$ $⇒2x=10$ $\therefore x=5$ Total distance = 42 × 5 = 210 km Hence, the correct answer is 210 km.
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Question : With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is 15 minutes late. The total journey is:
Option 1: 30 km
Option 2: 40 km
Option 3: 70 km
Option 4: 80 km
Question : A train moves at a speed of 35 km/hr for the first 2 hours and at a speed of 50 km/hr for the next 4 hours. Find the average speed of the train during the entire journey.
Option 1: 47 km/hr
Option 2: 50 km/hr
Option 3: 45 km/hr
Option 4: 35 km/hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
Question : A person covers the first 25 km in 60 minutes and the next 38 km in 30 minutes. What is his average speed for the whole journey?
Option 1: 46 km /hr
Option 2: 49 km/hr
Option 3: 42 km/hr
Option 4: 36 km /hr
Question : A train covers a certain distance at a speed of 80 km/hr in 6 hours. Find the speed of the train for covering the same distance in 5 hours.
Option 1: 96 km/hr
Option 2: 86 km/hr
Option 3: 90 km/hr
Option 4: 88 km/hr
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