The time taken by a person to cover 150 km
was 2.5 hours more than the time taken in
return journey. If he returned at a speed of
10 km/hrs more than the speed of going, what
was the spred per hour in each direction
Answers
Answered by
0
Answer:
3hrs the time taken by a person to covet 150 km
Answered by
1
Step-by-step explanation:
⇒ Distance given =150km
⇒ Let the forward speed be x and the return speed will be x+10
We know that, Time=
speed
Distance
∴
x
150
=
x+10
150
+2.5
⇒ 150(x+10)−150x=2.5×x(x+10)
⇒ 150x+1500−150x=2.5x
2
+25x
⇒ 2.5x
2
+25x−1500=0
⇒ 25x
2
+250x−15000=0
⇒ x
2
+10x−600=0
⇒ x
2
+30x−20x−600=0
⇒ x(x+30)−20(x+30)=0
⇒ (x+30)(x−20)=0
The value of cannot be negative.
∴ Forward speed will be 20km/hr
⇒ Return speed =20+10=30km/hr
⇒ The required product =20×30=600km/hr
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