1.

The Distance Between Two Cities A And B Is 330330 Km. A Train Starts From A At 88 A.m. And Travels Towards B At 6060 Km/hr. Another Train Starts From B At 99 A.m. And Travels Towards A At 7575 Km/hr. At What Time Will They Meet?

Answer»

Assume that they MEET xx hours after 88 a.m.

Then, train 1,1, starting from A, travels xx hours TILL the trains meet.

DISTANCE travelled by train 11 in xx hours =60x km=60x km

Train 2,2, starting from B, travels (x−1)(x−1) hours till the trains meet.

Distance travelled by train 22 in (x−1)(x−1) hours =75(x−1) km=75(x−1) km

Total distance travelled

= Distance travelled by train 11 + Distance travelled by train 22

⇒330=60x+75(x−1)

⇒12x+15(x−1)=66

⇒12x+15x−15=66

⇒27x=66+15=81

⇒3x=9

⇒x=3.

Assume that they meet xx hours after 88 a.m.

Then, train 1,1, starting from A, travels xx hours till the trains meet.

Distance travelled by train 11 in xx hours =60x km=60x km

Train 2,2, starting from B, travels (x−1)(x−1) hours till the trains meet.

Distance travelled by train 22 in (x−1)(x−1) hours =75(x−1) km=75(x−1) km

Total distance travelled

= Distance travelled by train 11 + Distance travelled by train 22

⇒330=60x+75(x−1)

⇒12x+15(x−1)=66

⇒12x+15x−15=66

⇒27x=66+15=81

⇒3x=9

⇒x=3.


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