After driving for 3 h 30 min from home Rishi increased his speed by 20% and thus reached his destination 1.5 hr. before. If he would have increased his speed after travelling further 90 km., he would have reaches his destination 1 hr. before. Find the distance of destination from his home.
Answers
Distance of destination from his home. = 375 km
Step-by-step explanation:
Let say total Distnce = D km
Speed = S km/hr
Time to be taken = D/S
After driving for 3 h 30 min from home Rishi increased his speed by 20% and thus reached his destination 1.5 hr. before
Distance covered in 3 h 30 min (3.5 hrs) = 3.5S
Remaining Distance = (D - 3.5S)
Increased speed = S + (20/100)S = 1.2S
Time taken further = (D - 3.5S)/1.2S
D/S - 1.5 = 3.5 + (D - 3.5S)/1.2S
=> D/S = 5 + (D - 3.5S)/1.2S
=> 1.2D = 6S + D - 3.5S
=> 0.2D = 2.5S
=> D/S = 12.5
he would have increased his speed after travelling further 90 km he would have reaches his destination 1 hr. before
=> 90/S - 0.5 = 90/1.2S
=> 108 - 0.6S = 90
=> 0.6S = 18
=>S = 30
D/S = 12.5
=> D = 30 * 12.5
=> D = 375 km
Distance of destination from his home. = 375 km
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