Latest IBPS Aptitude Question SOLUTION: By how much per cent must a motorist increase his speed in order to reduce by 20%, the time taken to cover a certain distance?

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By how much per cent must a motorist increase his speed in order to reduce by 20%, the time taken to cover a certain distance?

Asked In IBPS MAN (11 years ago)

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Mithun Kumar Kesari  (10 years ago)

since distance is fixed, so time and speed have inverse relationship,,i.e, T1/T2= S2/S1
now let by x% speed increases,
then S2= S[(100+x)/100]
and T2= T1*(1-20/100)= 4/5 * T1 (given time is reduced by 20 %)

now T1/T2= S2/S1

T1/(4/5*T1)= (100+x)/100* S1/S1= > 100+x= 125 => x=25%
hence speed increases by 25 %.

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SHAIK RAFFEE  (9 years ago)

here distance is unchanged.
so T2=4/5*T1 i.e T1/T2=5/4=S2/S1 AS T1/T2=S2/S1
HERE WE NEED TO FIND S2 %.
S2=5/4*S1
S2%=5/4*100*S1%
=125 S1%.
SO INCREASED SPEED % IS 125-100= 25%

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