CCAT Word Problem Flashcards

It is Friday, June 18th, right now. In 45 days, Rafael will celebrate his wedding anniversary. What day did Rafael tie the knot?

Answer: 2nd of August

Explanation: June has 30 days July has 31 days 18 June + 12 days = 30 June 30 June + 31 days = 31 July Days left = 45 days – 12 days – 31 days = 2 days 31 July + 2 days = 2 August

In 17 days, Rafael will release his debut book. The 23rd day of February is today. What date will Rafael release his book?

Answer: Friday

Explanation: Solution: Starting day is Tuesday Tuesday + 1 week is Tuesday 17 days is 2 weeks (2×7 days) + 3 days Tuesday + 3 days is Friday So on Friday

For his 50th birthday, Rafael is seeking for a catering service that can handle the food. The following price ranges are provided to him: Ulti-Eat: €800 call-out fees plus €10 per person; Munchers: €20 per person; Uberchef: €650 call-out fees plus €12 per person; La Cuisine: €1000 call-out fees plus €8 per person. At his birthday celebration, he is expecting 90 people. Which food service is the most affordable?

Answer: Ulti-Eat

Explanation: Solution: Ulti-Eat: € 800,- + (90 * € 10,-) = € 1700,- Munchers: 90 * € 20,- = € 1800,- Uberchef: € 650,- + (90 * € 12,-) = € 1730,- La Cuisine: € 1000,- + (90 * € 8,-) = € 1720,- So Ulti-Eat is the cheapest

In Venice, Rafael counts 23 boats. There are 14 persons on each of the 2 boats. Four persons are aboard one-third of the remaining vessels. On each of the half of the unspecified boats, there are 3 persons on board. On each of the remaining boats, there are two persons. How many people, all boats put together, are there?

Answer: 91 persons

Explanation: Solution: Total 23 boats 2 boats * 14 pers. = 28 persons 23 – 2 = 21 boats left 1/3 * 21 boats = 7 boats 7 boats * 4 pers. = 28 persons 21 – 7 = 14 boats left ½ * 14 = 7 boats 7 boats * 3 pers. = 21 person 14 -7 = 7 boats over 7 * 2 = 14 persons Total = 28 + 28 + 21 + 14 = 91 persons

In his brand-new Bugatti Veyron, Rafael travels 380 km/h from Pisa to Milan. He needs 45 minutes. There will be a line of traffic when he returns. He needs 1.5 hours to move through the 15 km-long traffic jam. Next, an 80 km stretch of slow traffic that travels at 40 km/hour follows. He can only travel through the final segment at an average speed of 190 km/hour due to how congested it is. How much time does Leonardo need to drive back?

Answer: 4,5 hours

First, calculate the total distance: 380 km/h * (45/60) h = 285 km. For the return journey, sum the times for each segment: 1.5 hours for the traffic jam, (80 km / 40 km/h) = 2 hours for the slow traffic, and ((285 - 15 - 80) km / 190 km/h) = (190 km / 190 km/h) = 1 hour for the final segment. The total return time is 1.5 + 2 + 1 = 4.5 hours.

Rafael spends €3.40 on three notebooks to record his thoughts. He also purchases 3 rubbers and 6 pencils. Each pencil costs €0.60. Each rubber costs €0.50. A pencil and rubber can be purchased combined for one euro at the moment, according to the merchant. How much is his overall obligation to pay?

Answer: € 15.00

Explanation: Solution: Notebooks: 3 * € 3,40 = € 10,20 Pencils together with rubbers: 3 * € 1,00 = € 3,00 Pencils separately: 3 * € 0,60 = € 1,80 Total: € 10,20 + € 3,00 + € 1,80 = € 15,00

There are 39 yellow, 52 black, and 26 red marbles in a bag. One marble is removed by Rafael. How likely is it that he will pull out a yellow marble?

Answer: 1/3

Explanation: Total amount of marbles = 26 + 52 + 39 = 117 of which 39 are yellow so the chance is 39/117 = 1/3