Question

A man travels a distance 180 km in 18 hours. Out of which one part is travelled at
8 km/hrs on foot and other part at 17 km/h by cycle. Find the distance travelled on
foot.
एक व्यक्ति 180 km की दूरी 18 घंटे में तय करता है। जिसमें से कुछ भाग 8km/h की
चाल से पैदल तथा शेष 17 km/h की चाल से साइकिल से तय करता है। पैदल तय की गई
दूरी ज्ञात कीजिए।
(a) 114 km (b) 113 km (c) 112 km

Answer 1

Answer:

( c ) 112 km.

Step-by-step explanation:

• Let Distance travelled by foot be x and that of cycle be y.
• According to formula Time = Distance / Speed
• By the first condition ,
• x + y = 180. ... ( 1 )
• By the second condition ,
• x / 8 + y / 17 = 18
• 17x + 8y / 136 = 18
• 17x + 8y = 2448. .. ( 2 )
• Multiply equation ( 1 ) by 8.
• 8x + 8y = 1440. .. ( 3 )
• Subtract equation ( 3 ) from equation ( 1 ).
• 17x + 8y = 2448
• - 8x + 8y = 1440
• 9x = 1008
• x = 112 km