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CBSE Class 9 Answered

P is four times as fast as Q and Q is six times as fast as R .If a certain distance is covered by Q  in 28 minutes, then the time taken by C to cover the same distance is_____ A) 2:48 hrs B)2:28 hrs C) 2:50 hrs D) 2:55 hrs
Asked by adalroshan2464 | 28 Nov, 2018, 05:13: PM
answered-by-expert Expert Answer
let speed of R = x m / minute
 
then speed of Q = 6x m / minute  and speed of P = 24x m /minute
 
let d be the distance covered by Q in 28 minute
 
time taken by Q = begin mathsize 12px style fraction numerator d i s tan c e over denominator s p e e d end fraction space equals space fraction numerator d over denominator 6 x end fraction space equals space 28 space space space h e n c e space space x space space equals space fraction numerator d over denominator 6 cross times 28 end fraction space equals space d over 168 end style
time taken by R to cover same distance = begin mathsize 12px style fraction numerator d over denominator 6 x end fraction space equals space d over d cross times 168 space equals space 168 space m i n space equals space 2 space h r space 48 space m i n end style
time taken by P to cover same distance = begin mathsize 12px style fraction numerator d over denominator 24 x end fraction space equals space fraction numerator d over denominator 24 d end fraction cross times 168 space equals space 7 space m i n space end style
Answered by Thiyagarajan K | 29 Nov, 2018, 06:31: AM

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