Question
Download Solution PDFAn employee will be late by 12 minutes to his office if he rides his bike at a speed of 40 kmph and he will be on time to his office if he rides his bike at a speed of 50 kmph. Then the distance (in km) of his office from his house is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
At 40 kmph → late by 12 minutes
At 50 kmph → on time
Formula used:
Time difference = Distance × (1/s1 − 1/s2)
Convert 12 minutes to hours = 12 ÷ 60 = 1/5 hour
Calculation:
Let distance = d km
⇒ d × (1/40 − 1/50) = 1/5
⇒ d × (5 − 4)/200 = 1/5
⇒ d × (1/200) = 1/5
⇒ d = 200 ÷ 5 = 40
∴ The distance is 40 km.
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