Mathematics - Mix №1 Speed Problems

• Two students started running from the school yard in opposite directions at the same time.
  The speed of the first student is 200 m/min.
  After 13 minutes the distance between them became 4 km 550 m.
  Find the speed of the second student.
  solve the task
• Piglet and Tigger left their houses in the Hundred Acre Wood and walked toward each other.
  Piglet walked at 180 m/min, and Tigger at 120 m/min.
  They met after 4 minutes.
  What is the distance between their houses?
  solve the task
• The boat’s own speed is 24 km/h, and the river current speed is 4 km/h.
  How long will the boat travel downstream between two docks if the distance between them is 112 km?
  solve the task
• A boat whose own speed is 30 km/h travelled 4 hours downstream and 2 hours upstream.
  What total distance did the boat cover if the speed of the current is 3 km/h?
  solve the task
• A sailing ship left Yalta for Istanbul 3 hours earlier than a speedboat.
  The ship’s speed is 36 km/h, the speedboat's speed is 72 km/h.
  After how many hours will the speedboat catch up with the ship?
  How far will the speedboat have travelled by that time?
  solve the task
• Two cars left London for Paris. One at 90 km/h, the other at 70 km/h.
  The distance is 630 km.
  How many hours earlier will the first car arrive?
  solve the task
• Two cars left Berlin for Paris. One at 90 km/h, the other at 70 km/h.
  Distance: 800 km.
  The first uses 10 L/100 km, the second 8 L/100 km.
  Fuel price: €1.50/L.
  How much money does one car save?
  solve the task
• Vova and John started walking toward each other from Da Nang and Hanoi.
  Vova: 7 km/h, John: 5 km/h.
  Distance: 720 km.
  How long until they meet?
  solve the task
• Vova and Bill walked from Da Nang to Nha Trang.
  Vova: 6 km/h, stops: 8h overnight + 3×1h
  Bill: 8 km/h, stops: 6h overnight + 4×1h
  Distance: 528 km.
  How many hours earlier will Bill arrive?
  solve the task
• Mia left City A for City B 1 hour earlier than Olivia.
  Mia’s speed: 60 km/h, Olivia’s speed: 90 km/h.
  After how long will Olivia catch up with Mia?
  solve the task