Question

Jayshree goes to office at a speed of 6 km/h and returns to her home at a speed of 4 km/h. If she takes 10 hours in all, what is the distance between her office and her home? * 1 point

Answer 1

Distance between her office and home is 24 km

Solution:

Let "x" be the distance between her office and home

Jayshree goes to office at a speed of 6 km/h

Returns to her home at a speed of 4 km/h

Total time taken is 10 hours

Time taken is given by:

$Time\ taken = \frac{distance}{speed}$

Therefore,

time taken to go office + time taken to return home = 10

$\frac{x}{6} + \frac{x}{4} = 10\\\\\frac{4x+6x}{24} = 10\\\\10x = 240\\\\x = 24$

Thus distance between her office and home is 24 km

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Every morning sharad starts to leave his home for office at 8:20am on bicycle.if he travels at a speed of 10 km/hr then he reach his office late by 8minutes. but on travelling at 16 km/hr he reaches the school 10 minutes early.at what time does the office starts?​

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Answer 2

s=d/t So t=d/s Let the distance be x km x/6+x/4=10 2x+3x=120 5x=120 x=24 km So, the distance is 24 km.