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UPSC Prelims

Mathematics

Theme:

Speed, Time and Distance / गति, समय और दूरी

Q69 2014, Speed, Time and Distance

Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time 08:10 AM. If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at

160 कि.मी. दूरी पर स्थित A और B दो स्थानों से दो कारें एक-दूसरे की तरफ प्रस्थान करती हैं। दोनों कारें एक ही समय 08:10 पूर्वाह्न पर प्रस्थान करती है। यदि कारों की गति प्रति घंटे क्रमशः 50 कि.मी. और 30 कि.मी. है, तो कारें एक-दूसरे से किस समय पर मिलेंगी ?

Explanation Please wait..

Total distance between point A and B = 160 km

Now, let cars meet after t hours.

⸫ Distance travelled by cars of 50 km/h = 50 t

Distance travelled by cars of 30 km/h = 30 t

Now, total distance travelled by both cars = 160 km

According to the question,

50t + 30t = 160 ] 80t = 160

⸫ t = 2 h

⸫ Cars will meet at = 8 : 10 am + 2 = 10 : 10 am.

व्याख्या Please wait..

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