Question
Download Solution PDFEdwin completes a journey in 11 hrs. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 24 km/hr. Find the distance travelled in km.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Edwin completes a journey in 11 hours.
First half of the journey speed = 20 km/hr
Second half of the journey speed = 24 km/hr
Formula used:
Total time = Time for the first half + Time for the second half
Distance = Speed × Time
Calculation:
Let the total distance = D km.
Distance for the first half = D/2 km
Distance for the second half = D/2 km
Time for the first half = Distance / Speed = \(\dfrac{D}{2×20}\)
Time for the second half = Distance / Speed = \(\dfrac{D}{2×24}\)
Total time = 11 hours
⇒ \(\dfrac{D}{2×20} + \dfrac{D}{2×24} = 11\)
⇒ \(\dfrac{D}{40} + \dfrac{D}{48} = 11\)
⇒ Taking LCM of 40 and 48 = 240
⇒ \(\dfrac{6D}{240} + \dfrac{5D}{240} = 11\)
⇒ \(\dfrac{11D}{240} = 11\)
⇒ D = 240
∴ The correct answer is option (4).
Last updated on Feb 11, 2025
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