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44. If a man travels at a speed of 30 km/hr, hereaches his destination 10 minutes late and ifhe travels at a speed of 42 km/hr, he reacheshis destination 10 minutes early. The distancetravelled is :

Answer»

Let.....x be required distance.x/s=t...........nowby 1 st condition...x/30=t+1/15...................................( 4 minutes=1/15 hours)and by second equationx/30=t-1/6from above equations,x/25 -1/15=x/30 +1/6sox=35 kmans is 35 km

Let the distance be x km.

Then, correct time at a speed of

30 km / h =x30x30-10601060

Correct time at a speed of 42 km /h

=x42x42+10601060

=>x30x30-10601060=x42x42+10601060

=>x30x30-x42x42=2626

=>x(12)1260x(12)1260=2626

=> 72 x = 1260××2

=> x =1260×2721260×272=> x = 35 km



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