Raghunandan performs 9/30th of his total journey by ship, 5/18th by a horse carriage and the remaining 10 km on foot. The length of the total journey is
Answers
The length of the total journey, if he travels 9/30th by ship, 5/18th by a horse carriage and the remaining 10 km by foot, is 23.68 km.
Step-by-step explanation:
Let the length of the total journey be “x” km
Raghunandan performs the complete journey in the following ways:
9/30th of the total journey by ship i.e., distance covered by ship = * x
5/18th of the total journey by horse i.e., distance covered by horse = * x
Remaining distance covered by foot = 10 km
According to the question, we can write the eq. as,
* x + 10 = x
l.c.m. of 30 & 18 = 90
⇒ [27x + 25x + 900] / 90 = x
⇒ [27x + 25x + 900] = 90 x
⇒ 38x = 900
⇒ x = 900/38
⇒ x = 23.68 km
Thus, the length of the total journey is 23.68 km .
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