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
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
$\therefore$ Distance, $x_2 = s_2 × t_2 = 90 × 5 = 450$ 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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