Question
Download Solution PDFA train travels from Delhi to Jamnagar at a speed of 80 km/hr and returns at a speed of 82 km/hr. If it takes 162 hours for the total travel, then find the distance between Delhi and Jamnagar. (In km)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed from Delhi to Jamnagar (S1) = 80 km/hr
Speed from Jamnagar to Delhi (S2) = 82 km/hr
Total time taken (T) = 162 hours
Formula Used:
Time = Distance / Speed
Let the distance between Delhi and Jamnagar be D km.
Time taken to travel from Delhi to Jamnagar (T1) = D / S1
Time taken to travel from Jamnagar to Delhi (T2) = D / S2
Total time (T) = T1 + T2
Calculation:
T = T1 + T2
162 = (D / 80) + (D / 82)
⇒ 162 = D × (1/80 + 1/82)
⇒ 162 = D × ((82 + 80) / (80 × 82))
⇒ 162 = D × (162 / 6560)
⇒ D = 162 × (6560 / 162)
⇒ D = 6560
∴ The distance between Delhi and Jamnagar is 6560 km.
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