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A Trip to Bhopal - Word Problems on Operations

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Estimating Bus Capacity: To find out how many buses are needed for a trip, we divide the total number of students by the number of seats available in a single bus. Imagine a line of buses where each bus represents a group of 50 seats; if we have 210 students, 4 buses will hold 4×50=2004 \times 50 = 200 students, and we can visualize 10 students remaining who would need another bus or extra seats.

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Understanding Unit Cost and Fueling: This concept involves calculating the total price based on the quantity of fuel or items purchased. Picture a digital display on a petrol pump showing the 'Price per Liter' and 'Total Liters'; if 1 liter costs Rs65Rs 65 and the tank takes 100 liters, the total cost is found by multiplying the two values.

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Time and Duration Calculations: We calculate the time taken for a journey by finding the difference between the departure time and the arrival time. You can visualize a clock face where the minute hand moves forward; for instance, if a bus stops at a bridge at 9:10 AM and leaves at 9:25 AM, it spent 15 minutes at the bridge.

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Equal Distribution: When items like food packets are shared among students, we use multiplication for the total count. Imagine each student holding a small bag containing 1 orange, 1 banana, and 5 biscuits; to find the total biscuits for the whole class, you multiply the number of students by 5.

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Calculating Boat Ride Costs: Different activities have different rates and durations. Visualize a ticket counter with a price board: a 'Double-decker' boat might cost Rs30Rs 30 per person for 45 minutes, while a 'Paddle boat' costs Rs15Rs 15 for 30 minutes. To find the total cost for a group, multiply the ticket price by the number of people.

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Distance and Landmarks: Traveling involves understanding the distance between stops. Picture a straight road as a number line starting at 0 km (School), with Bhopal at 110 km. If the bus is at a bridge 70 km away from school, you can calculate the remaining distance to Bhopal by subtracting 70 from 110.

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Problem Solving with Logic: Sometimes problems involve multiple steps, such as finding a number that is exactly halfway between two others. Visualize a number line with 100 on one end and 150 on the other; the number 125 sits exactly in the middle.

📐Formulae

TotalSeats=NumberofBuses×SeatsperBusTotal Seats = Number of Buses \times Seats per Bus

TotalCost=PriceperItem×QuantityTotal Cost = Price per Item \times Quantity

ItemsNeeded=Students×ItemsperStudentItems Needed = Students \times Items per Student

TimeDuration=FinishTime−StartTimeTime Duration = Finish Time - Start Time

RemainingDistance=TotalDistance−DistanceCoveredRemaining Distance = Total Distance - Distance Covered

NumberofBuses=TotalStudentsSeatsperBusNumber of Buses = \frac{Total Students}{Seats per Bus} (rounded up to the nearest whole number)

💡Examples

Problem 1:

There are 210 children going on a trip to Bhopal. If they are given buses with 50 seats each, how many children will get seats and how many will be left without seats?

Solution:

  1. Total children = 210210
  2. Seats in one bus = 5050
  3. Seats in 4 buses = 4×50=2004 \times 50 = 200
  4. Children who get seats = 200200
  5. Children left without seats = 210−200=10210 - 200 = 10

Explanation:

We first calculate the total capacity of 4 buses by multiplying the number of buses by the seats per bus. Then, we subtract this from the total number of children to find the remainder.

Problem 2:

A group of 40 children went for boating. They took the 'Double-decker' boat which costs Rs30Rs 30 per ticket and the 'Paddle boat' which costs Rs15Rs 15 per ticket. If 20 children took the Double-decker and 20 took the Paddle boat, what is the total money paid for tickets?

Solution:

  1. Cost for Double-decker = 20×30=Rs60020 \times 30 = Rs 600
  2. Cost for Paddle boat = 20×15=Rs30020 \times 15 = Rs 300
  3. Total money paid = 600+300=Rs900600 + 300 = Rs 900

Explanation:

We calculate the cost for each type of boat separately by multiplying the number of children by the respective ticket price, and then add the two totals together.

Word Problems on Operations Class 4 Notes & Examples