53 Suman and Sujata travel the same distance at speeds of 10 km/hr and 12 km/hr respectively.
53 Suman and Sujata travel the same distance at speeds of 10 km/hr and 12 km/hr respectively. If Suman takes 36 minutes more than
Sujata, the distance traveled by each is:
सुमन और सुजाता समान दूरी क्रमशः 10 किमी/घंटे और 12 किमी/घंटे की गति से तय करती हैं। अगर सुमन, सुजाता से 36 मिनट ज्यादा समय लेती है, तो प्रत्येक द्वारा तय की गई दूरी है:
Detailed Solution & Logic
36 km/ 36 किमी
Solution:
Let the distance traveled by each be d km.
Time taken by Suman $= \frac{d}{10}$ hours
Time taken by Sujata $= \frac{d}{12}$ hours
Given, the difference in time is 36 minutes $= \frac{36}{60} = \frac{3}{5}$ hour.
So,
$\frac{d}{10} - \frac{d}{12} = \frac{3}{5}$
$\frac{6d - 5d}{60} = \frac{3}{5}$
$\frac{d}{60} = \frac{3}{5}$
$d = \frac{3}{5} \times 60 = 36$
Therefore, the distance traveled by each is 36 km.
Answer: 36 km / 36 किमी
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