Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Level 3
There were some flights of steps with the same amount of steps. For the 1st staircase, Carl walked up some steps and ran up 7 steps. He took 98 seconds. For the next staircase, he ran up 15 steps and walked the rest of the steps, and took a total of 58 seconds. How long would Carl take to walk up 4 flights of steps of the same number of steps? Express the answer in min and s.
4 m
Level 3
Oscar Mobile Company has a few mobile phone service plans. Plan A offers 270 SMS and 90 minutes of talk time for $25.20. Plan B offers 370 SMS and 190 minutes of talk time for $35.20. Oscar Mobile Company is also going to launch Plan C which offers 170 SMS and 260 minutes of talk time. How much should Oscar Mobile Company charge for Plan C if the cost per SMS and the cost per minute of talk time do not vary across the three plans?
5 m
Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.
  1. How much more distance had Bella covered than Brent when they met on their way?
  2. How far apart were Hotel A and Hotel B? Express the answer in mixed number.
4 m
Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.
  1. Find the total distance covered by the two runners when they met each other. Express the answer in km.
  2. Find the length of the trail in km.
4 m