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let the total distance be A,
then
total distance travelled by the man by train, bus and car = 2A/5 + A/3 + A/4,
=(24A+20A+15A)/60,
=59A/60,
then
remaining distance=total distance - travelled distance,
= A - 59A/60,
=(60A-59A)/60,
=A/60,
but account to the question, reamaining distance is 3 km,
then
A/60 = 3 km,
therefore
A=3×60,
A=180 km,
hence
distance travelled by train
= 2A/5,
=2 × 180/5,
=2×36,
=72 km,
IInd approach:-
Distance travelled by train + distance travelled by bus + distance travelled by car + distance travelled by foot = total distance travelled,
hence
2A/5 + A/3 + A/4 + 3 = A,
(24A+20A+15A+180)/60 = A,
59A + 180 = 60×A,
59A+180=60A,
then
180=60A-59A,
180=A,
then
distance travelled by train = 2A/5,
=2×180/5,
=2×36,
=72 km
then
total distance travelled by the man by train, bus and car = 2A/5 + A/3 + A/4,
=(24A+20A+15A)/60,
=59A/60,
then
remaining distance=total distance - travelled distance,
= A - 59A/60,
=(60A-59A)/60,
=A/60,
but account to the question, reamaining distance is 3 km,
then
A/60 = 3 km,
therefore
A=3×60,
A=180 km,
hence
distance travelled by train
= 2A/5,
=2 × 180/5,
=2×36,
=72 km,
IInd approach:-
Distance travelled by train + distance travelled by bus + distance travelled by car + distance travelled by foot = total distance travelled,
hence
2A/5 + A/3 + A/4 + 3 = A,
(24A+20A+15A+180)/60 = A,
59A + 180 = 60×A,
59A+180=60A,
then
180=60A-59A,
180=A,
then
distance travelled by train = 2A/5,
=2×180/5,
=2×36,
=72 km
SaniyaNaaz:
photo pic the solution
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