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
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Correct Answer: 70 km
Solution : The average speed of a train 40 km/hr, reaches its destination in time. The new average speed is 35 km/hr. Time = 15 minutes = $\frac{15}{60} = \frac{1}{4}$ hours Let the distance travelled by the train be $d$ km. According to the question, $\frac{d}{35}-\frac{d}{40}=\frac{1}{4}$ ⇒ $\frac{8d-7d}{280}=\frac{1}{4}$ ⇒ $d=\frac{280}{4}$ $\therefore d= 70$ km Hence, the correct answer is 70 km.
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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
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 person covers the first 30 km in 60 minutes and the next 40 km in 30 minutes. What is his average speed for the whole journey?
Option 1: $\frac{140}{3}$ km/hr
Option 2: 30 km/hr
Option 3: $\frac{160}{3}$ km/hr
Option 4: 60 km/hr
Question : A person covers the first 15 km in 60 minutes and the next 24 km in 30 minutes. What is his average speed for the whole journey?
Option 1: 33 km/hr
Option 2: 26 km/hr
Option 3: 29 km/hr
Option 4: 23 km/hr
Question : A person walks 10 km at a speed of 2.5 km/hr, then runs 10 km at a speed of 5 km/hr and then goes 30 km by bus at the speed of 30 km/hr. What is the average speed of the man?
Option 1: 9 km/hr
Option 2: 8.25 km/hr
Option 3: 7.14 km/hr
Option 4: 7 km/hr
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