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ICSE Class 8 Answered

nitin walks at 3/4 of his usual speed and reaches his home 10 minutes late find the usual time taken by him to reach his home
Asked by snehamayee.75 | 24 Mar, 2019, 09:16: AM
answered-by-expert Expert Answer
usual time taken to reach home = begin mathsize 12px style fraction numerator d i s tan c e over denominator s p e e d end fraction end style ...............................(1)
if speed is changed to (3/4)th of usual speed, time taken to reach home = begin mathsize 12px style fraction numerator d i s tan c e over denominator begin display style bevelled 3 over 4 space s p e e d end style end fraction space space equals space 4 over 3 fraction numerator d i s tan c e space over denominator s p e e d end fraction end style ......................(2)
 
time difference between (2) and (1) is 10 minutes ,
 
hence begin mathsize 12px style 4 over 3 fraction numerator d i s tan c e over denominator s p e e d end fraction space minus space fraction numerator d i s tan c e over denominator s p e e d end fraction space space equals space open parentheses 4 over 3 space minus space 1 close parentheses space fraction numerator begin display style d i s tan c e end style over denominator begin display style s p e e d end style end fraction space equals space 1 third space fraction numerator begin display style d i s tan c e end style over denominator begin display style s p e e d end style end fraction space equals space 10 space m i n s end style
hence , usual time taken to reach home = begin mathsize 12px style fraction numerator d i s tan c e over denominator s p e e d end fraction end style = 10×3 = 30 minutes
Answered by Thiyagarajan K | 24 Mar, 2019, 10:46: AM

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