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# Two Cars Start Together in the Same Direction from the Same Place. the First Cargoes at Uniform Speed of 10 Km H-1. - Mathematics

Sum

Two cars start together in the same direction from the same place. The first cargoes at uniform speed of 10 km h-1. The second car goes at a speed of 8 km h-1 in the first hour and thereafter increasing the speed by 0.5 km h-1 each succeeding hour. After how many hours will the two cars meet?

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#### Solution

Let the two cars meet after n hours.

That means the two cars travel the same distance in n hours.

Distance travelled by the 1^(st) car in n hours= 10xxn km  Distance travelled by the 2^nd car in n hours=n/2[2xx8+(n-1)xx0.5]km

⇒ 10xxn=n/2[2xx8+(n-1)xx0.5]

⇒20=16+0.5n-0.5

⇒0.5n=4.5

⇒n=9

Thus , the two cars will meet after 9 hours.d08

Concept: Arithmetic Progression - Finding Sum of Their First ‘N’ Terms.
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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (E) | Q 1 | Page 147
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