Vishnu travelled equal distances at speeds of 10 km/h, 30 km/h and 8km/h and took a total of 15.5 minutes to complete entire journey. Find the total distance(in km) he travelled.
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Step-by-step explanation:
Let he travelled x km at each speed.
Time taken to cover x km at 10 kmph = x/10 hr
Time taken to cover x km at 30 kmph = x/30 hr
Time taken to cover x km at 8 kmph = x/8 hr
Total time taken = 15.5 minutes = 31/120 hr
(
⇒
x
10
+
x
30
+
x
8
=
31
120
⇒
12
x
+
4
x
+
15
x
120
=
31
120
)
⇒ 31x = 31
∴ x = 1
∴ Total distance covered in km = 1 + 1 + 1 = 3 km
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