Nidhi text 3 hour more than Renu to work 30 km but if any double his place she is ahead of Renu by 3 by 2 hours find their speed of walking
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solution :
- .let speed of A be x km\h
- let speed of B be your km\h
- Distance is 30km
Time taken by A to walk = distance / speed = 30 \ x hrs
Time taken by B to Walk = distance \speed = 30 / you hrs
.....ACCORDING TO THE CONDITION
- 30/x = 30/y + 3
..... Dividing both sides by 3
- 10/x=10/y +1...... (1)
when A double his place, his speed is = 2x km/h
...Time taken to walk A 30km = 30/20x hrs
....ACCORDING TO THE GIVEN CONDITION....
- 30/y=30/20x + 3/2
...Dividing both sides by 3/2
- 20/y+10/x + 1 ..... (2)
¿¿¿put the value 1/x a and 1/y b
,,,,,,,from eq (1) 10a = 10b +1
- 10a - 10b ..... (3)
from eq (2) 20b = 10a+b......
- 10a - 20b = -1.... (4)
,,,,subtracting eq (4)from (3)
- 10a -10b (10a-20b)
- 10a- 10b - 10a + 2ab =2
10b = 2
b = 1/5
...put the value b in )3)
10a - 10b 1/5-1
a= 30/10
1/x = 3/10 or = 10/3
1/y = 1/5 or y = 5
SPEED A = 10/3 KM/H
SPEED B = 5 KM /H..
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