Question
Download Solution PDFQ completes a journey in 87 hours. She travels first half of the journey at the rate of 84 kmph and second half at the rate of 90 kmph. Find the total distance of the entire journey. (In km)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total time = 87 hours
Speed of the 1st half = 84 kmph
Speed of the 2nd half = 90 kmph
Formula used:
Distance = Speed × Time
Calculation:
Let total distance = D km
According to the question
D/2× 84 + D/ 2× 90 = 87
⇒ D/168 + D/180 = 87
⇒ (15D + 14D)/2520 =87
⇒ 29D = 87×2520
⇒ D = 7560
∴ The total distance is 7560 km.
Last updated on Jun 12, 2025
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