216k views
3 votes
Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.

Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.

Work out the value of T .

User Sharise
by
5.8k points

1 Answer

2 votes

Answer:

3.5 hours

Explanation:

Paul:

  • Speed = 90 km/h
  • Time= T hours
  • Distance = 90T km

Mary:

  • Speed = 70 km/h
  • Time = T + 1 hours
  • Distance = 70(T+1) km

Since the distance is same, we have:

  • 90T = 70(T+1)
  • 90T= 70T + 70
  • 90T - 70T = 70
  • 20T= 70
  • T= 70/20
  • T= 3.5 hours

Answer: Paul's travel took 3.5 hours

User Arbogastes
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.