Question : A train covers a distance of 540 km between two stations in 240 minutes. It travels at a speed of 90 km/hr to another station in 5 hours. What is the average speed of the train (in km/hr)?
Option 1: 112
Option 2: 110
Option 3: 100
Option 4: 120

Question

Question : A person travels a distance of 240 km, partly by train and the rest by bus. He takes $3 \frac{1}{2}$ hours if he travels 150 km by train and the rest by bus. If he travels 140 km by bus and the rest by train, he takes $3 \frac{2}{3}$ hours. What is the speed of the train?

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Answer 1

Correct Answer: 110

Solution : Distance, $x_{1} = 540$ km
Time, $t_{1} = 240$ minutes = $4$ hrs
Time, $t_{2} = 5$ hrs
Speed, $s_{2} = 90$ km/hr
$∴$ Distance, $x_{2} = s_{2} \times t_{2} = 90 \times 5 = 450$ km
Average speed $= \frac{x_{1} + x_{2}}{t_{1} + t_{2}} = \frac{540 + 450}{4 + 5} = \frac{990}{9} = 110$ km/hr
Hence, the correct answer is 110.

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Question : A train covers a distance of 540 km between two stations in 240 minutes. It travels at a speed of 90 km/hr to another station in 5 hours. What is the average speed of the train (in km/hr)?Option 1: 112Option 2: 110Option 3: 100Option 4: 120

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Question : A train covers a distance of 540 km between two stations in 240 minutes. It travels at a speed of 90 km/hr to another station in 5 hours. What is the average speed of the train (in km/hr)?
Option 1: 112
Option 2: 110
Option 3: 100
Option 4: 120