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5.Let number of days be x
Let number of hours be y
x=8days
y=3/2 hours
y1=2hrs
xy=constant
xy=x1y1
8×3/2=x1×2
x1=6hrs
Therefore, candle will last for 6days
8. Likewise, number of toffees to be shared with each be x=10
and number of friends be y=6
4 new friends came now, y1=10
Number toffees each will get be x1
xy=x1y1
10×6=x1×10
=>x1=6
no. of toffees each friend will get=6
9. As, half of a work can be done by 12 workers in 15 days, then Full work can be done by 24 workers in 15days.
Let x be number of days=15
Let y be number of workers=24
Let y1 be the new number of workers=30
Let x1 be the number of days will be taken by 30 number of workers.
xy=x1y1
15×24=x1×30
x1=12
Therefore, 21 days will be required by 30 workers to complete the whole work.
10. At the speed of 40kmph for yhrs a body covers a certain distance =40ykm
At the speed of 30kmph to cover the the same distance time taken=40y/30hr=(4/3)y hrs.
Let number of hours be y
x=8days
y=3/2 hours
y1=2hrs
xy=constant
xy=x1y1
8×3/2=x1×2
x1=6hrs
Therefore, candle will last for 6days
8. Likewise, number of toffees to be shared with each be x=10
and number of friends be y=6
4 new friends came now, y1=10
Number toffees each will get be x1
xy=x1y1
10×6=x1×10
=>x1=6
no. of toffees each friend will get=6
9. As, half of a work can be done by 12 workers in 15 days, then Full work can be done by 24 workers in 15days.
Let x be number of days=15
Let y be number of workers=24
Let y1 be the new number of workers=30
Let x1 be the number of days will be taken by 30 number of workers.
xy=x1y1
15×24=x1×30
x1=12
Therefore, 21 days will be required by 30 workers to complete the whole work.
10. At the speed of 40kmph for yhrs a body covers a certain distance =40ykm
At the speed of 30kmph to cover the the same distance time taken=40y/30hr=(4/3)y hrs.
Gautam2004:
thanks for your help
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