The distance between two stations,Delhi and A | vedclass

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Question

(C) Let the time elapsed after $3:20 \, p.m.$ be $t$ hours.Since the train from Delhi starts at $4:00 \, p.m.$,it has been traveling for $(t - 40/60)$

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$6:50 \, p.m.$

Vedclass · Answer

(C) Let the time elapsed after $3:20 \, p.m.$ be $t$ hours.Since the train from Delhi starts at $4:00 \, p.m.$,it has been traveling for $(t - 40/60)$ hours,which is $(t - 2/3)$ hours.The train from Amritsar travels for $t$ hours.The sum of the distances covered by both trains equals the total distance between the stations:$60(t - 2/3) + 80t = 450$$60t - 40 + 80t = 450$$140t = 490$$t = 490 / 140 = 3.5 \, 	ext{hours}$.$3.5 \, 	ext{hours}$ is $3 \, 	ext{hours}$ and $30 \, 	ext{minutes}$.Adding this to the start time of the second train $(3:20 \, p.m.)$:$3:20 \, p.m. + 3 \, 	ext{hours} \, 30 \, 	ext{minutes} = 6:50 \, p.m.$

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