Two Stations P And Q Are 110110 Km Apart On A Straight Track. One Tra

1.	Two Stations P And Q Are 110110 Km Apart On A Straight Track. One Train Starts From P At 77a.m. And Travels Towards Q At 2020 Kmph. Another Train Starts From Q At 88 A.m. And Travels Towards P At A Speed Of 2525 Kmph. At What Time Will They Meet?
Answer» Assume both trains meet xx HOURS after 77 a.m. DISTANCE covered by train starting from P in xx hours =20X km=20x km Distance covered by train starting from Q in (x−1)(x−1) hours =25(x−1) km=25(x−1) km TOTAL distance =110 km=110 km ⇒20x+25(x−1)=110 ⇒45x=135 ⇒x=3 Hence, they meet 33 hours after 77 a.m. i.e., they meet at 10 a.m. Assume both trains meet xx hours after 77 a.m. Distance covered by train starting from P in xx hours =20x km=20x km Distance covered by train starting from Q in (x−1)(x−1) hours =25(x−1) km=25(x−1) km Total distance =110 km=110 km ⇒20x+25(x−1)=110 ⇒45x=135 ⇒x=3 Hence, they meet 33 hours after 77 a.m. i.e., they meet at 10 a.m.

Two Stations P And Q Are 110110 Km Apart On A Straight Track. One Train Starts From P At 77a.m. And Travels Towards Q At 2020 Kmph. Another Train Starts From Q At 88 A.m. And Travels Towards P At A Speed Of 2525 Kmph. At What Time Will They Meet?

Answer»

Assume both trains meet xx HOURS after 77 a.m.

DISTANCE covered by train starting from P in xx hours =20X km=20x km

Distance covered by train starting from Q in (x−1)(x−1) hours =25(x−1) km=25(x−1) km

TOTAL distance =110 km=110 km

⇒20x+25(x−1)=110

⇒45x=135

⇒x=3

Hence, they meet 33 hours after 77 a.m.

i.e., they meet at 10 a.m.

Assume both trains meet xx hours after 77 a.m.

Distance covered by train starting from P in xx hours =20x km=20x km

Distance covered by train starting from Q in (x−1)(x−1) hours =25(x−1) km=25(x−1) km

Total distance =110 km=110 km

⇒20x+25(x−1)=110

⇒45x=135

⇒x=3

Hence, they meet 33 hours after 77 a.m.

i.e., they meet at 10 a.m.

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